A New Simple Proof of Wilker's Inequality

By Ling Zhu. 2005

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INEQUALITIES FOR THE SCHWAB-BORCHARDT MEAN AND THEIR APPLICATIONS (2011, background): “2) can be found in mathematical literature (see [4, 7, 12, 16, 17, 18]).”
On Wilker and Huygens type inequalities (2012, unknown): “[1,2,3,6,8,10,11,12,13,14, 15, 16, 19, 20, 21, 22, 23, 25, 26, 27, 28] and the references cited therein).”
A weighted and exponential generalization of Wilker's inequality and its applications (2007, methodology): “Now, making use of the inequality (8) together with the following well-known trigonometric inequality: 0 < x tan x < 1 ( 0 < x < π 2 ) ,”
A further refinement of Wilker's inequality (2008, methodology): “Finally, by using the following substitution: x −→ x(2) in Equation (28), the desired inequality (20) follows immediately.”
Refinements, Generalizations, and Applications of Jordan's Inequality and Related Problems (2009, background): “1) has been proved once and again in papers such as [23, 29, 53, 86, 103, 114].”